Answer:
1/6 a cup on each bowl
Step-by-step explanation:
1/2 divided by 3 is 1/6
Use Heron’s Formula, that is, the area of a triangle is , where the triangle contains sides a, b and c and to find the area of the triangle with side lengths: .a=7/2 b=4/3 c=9/4
Answer:
Area: T = 0.649
Step-by-step explanation:
Sides: a = 3.5 b = 1.333 c = 2.25
A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.
This question is incomplete and it lacks the attached diagram of the square based pyramid. Find attached to this answer, the square based pyramid.
Correct Question
A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.
A. What is the slant height of the pyramid?
B. What is the surface area of the composite figure?
HINT: The surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.
C. How many cubic yards of concrete are needed to make the planter?
Answer:
A. The slant height of the pyramid = 2.24 yards.
B. The surface area of the composite figure = 12.94 square yards.
C. The cubic yards of concrete are needed to make the planter = 2.67 cubic yards.
Step-by-step explanation:
A. What is the slant height of the pyramid?
To calculate the Slant height of a pyramid we make use of the Pythagoras Theorem which is given as:
a² + b² = c²
Where a = Height of the square pyramid represent by h
b = radius of the square pyramid represented by r
c = Slant height of the square pyramid represented by s
Therefore, we have
h² + r² = s²
Looking at the attached diagram, we are given the side length = 2 yards.
The radius of the square based pyramid = side length ÷ 2
= 2÷ 2 = 1 yard.
The height of a square based pyramid = 2 yards
Since , h² + r² = s²
The slant height of the square pyramid is calculated as :
√h² + r² = s
√(2² + 1²) = s
√5 = s
s = 2.24 yards
B. What is the surface area of the composite figure?
We were given hints in the question that the the surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.
Step 1
We find the Lateral area of the faces of the insides of the inverted pyramid
We have 4 faces, Hence,
The formula is given as
a × √( a² + 4h²
a = 2 yards
h = 2 yards
So, = 2 × √( 2² + 4 ×2²
The Lateral area of the faces = 8.94 square yards.
Step 2
Area of the 5 faces of the cube
= a²
Where a = side length = 2 yards
= 2²
= 4 square yards.
Step 3
Therefore, surface area of the composite figure = 8.94 square yards + 4 square yards
= 12.94 square yards.
C. How many cubic yards of concrete are needed to make the planter?
This is calculated by find the Volume of the Square based pyramid.
The formula is given as :
V = (1/3)a²h
Where a = side length = 2 yards
h = height of the square based pyramid = 2 yards
V = 1/3 × 2² × 2
V = 2.67 cubic yards
Help me
F (x)=-4x^2+10x-8
What is the value of discrminant of f
How many distinct real number zeros does f have
Answer:
2 Real Roots
Step-by-step explanation:
The discriminant (D) is found using the formula b^2+4ac for the equation ax^2+bx+c.
If D>0 there are two real roots, D=0 one real root and D<0 no real roots.
D = b^2+4ac
D = 10^2+4(-4)(-8)
D = 100+32*4
D = 100+128
D = 228
since 228>0
There are 2 real roots
Why is 29 a prime number
Answer:
29 is a prime number because it has only two distinct divisors: 1 and itself.
The mk family orchard has 120 apple trees and 90 pear trees. If each fruit tree produces an average of 590 pounds of fruit per year, about how many pounds of fruit can the orchard produce in one year
Answer & Step-by-step explanation:
If each fruit tree produces an average of 590 pounds of fruit, then that means we are going to multiply. For the apples, we are going to multiply 120 by 590. For the pears, we are going to multiply 90 by 590. After we multiply these numbers, we are going to add the products so we can find the total amount of pounds of fruit.
Apples:
120 × 590 = 70800
Pears:
90 × 590 = 53100
Now, we add 70800 to 53100.
70800 + 53100 = 123900
So, the orchard produces 123900 pounds of fruit in one year.
A football team has P points.
P = 3W + D
W is the number of wins
D is the number of draws
If a team has 53 points from 33 games, with 11 draws, how many games did the team lose
Answer:
They must have lost 19 games.
Step-by-step explanation:
If you plug in 53 into the equation, you get 53 = 3w + 11. You subtract 11 from both sides, resulting in 42 = 3w. You divide 3 from both sides this time, resulting in 14 = w. Since W is the number of wins, and you're trying to figure out games lost, you subtract 14 from the number of games played, so 33-14 is equal to 19.
Farmer Bob's daughter wanted to put carpet in her goats pen. The pen is 12 feet wide and 12 feet long. How many square feet of carpet does she need for the pen
Answer:
She would need 144 square feet of carpet.
Step-by-step explanation:
Since the pen is 12 feet by 12 feet you would multiply 12 by 12 for your answer of 144 square feet.
hey can anyone pls help me out in dis!!!!!!!!!
Answer:
Look at the attachment
what is the slope of the line 7x+2y=5
Answer:
slope = -7/2x
Step-by-step explanation:
you can solve the equation in order to make it slope-intercept form.
7x + 2y = 5
2y = -7x + 5
divide everything by 2
it becomes y = -7/2x + 5/2
The required slope of the line is m = -7 / 2.
A line can be defined by the shortest distance between two points is called a line.
Method 1
7x + 2y = 5
Rearranging the equation in the standard form of the equation of a line
y = mx + c
where m is the slope of the line and c is the intercept of the line.
7x + 2y = 5
2y = -7x + 5
y = -7x/2 + 5 - - - - - -(1)
Comparing equation 1 with the standard form of the equation
m = -7/2 and c = 5
Method 2
Differentiate the given equation, with respect to x
d/dx (7x + 2 y) = d/dx (5)
7 + 2dy/dx = 0
dy/dx = -7/2
Slope = dy/dx = -7/2
Thus, the required slope of the equation is m = -7/2
Learn more about lines here:
brainly.com/question/2696693
#SPJ2
How do you solve 15 less than or equal to
3 - 4s
Answer:
-3 is greater than or equal to s
Step-by-step explanation:
subtract 3 on both sides
then get s by itself by dividing by -4 on both sides (bc you are dividing by a negative the sign flips)
Please help, it’s a math question
Answer:
the answer is B
Step-by-step explanation:
hope it help
On a coordinate plane, a circle has a center at (4, 5) and a radius of 3 units.
Which equation represents a circle with the same center as the circle shown but with a radius of 2 units?
(x – 4)2 + (y – 5)2 = 2
(x – 4)2 + (y – 5)2 = 4
(x – 5)2 + (y – 4)2 = 2
(x – 5)2 + (y – 4)2 = 4
Answer:
(x - 4)² + (y - 5)² = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (4, 5) and r = 2, thus
(x - 4)² + (y - 5)² = 2², that is
(x - 4)² + (y - 5)² = 4 ← second option on list
The required equation represents a circle with the same center as the circle shown but with a radius of 2 units is (x-4)^2 + (y-5)^2 = 4
Equation of a circleThe standard equation of a circle is expressed as:
(x-a)^2 + (y-b)^2 = r^2
where:
(a, b) is the centre = (4, 5)
r is the radius = 3 units
Substitute to have;
(x-4)^2 + (y-5)^2 = 2^2
(x-4)^2 + (y-5)^2 = 4
Hence the required equation represents a circle with the same center as the circle shown but with a radius of 2 units is (x-4)^2 + (y-5)^2 = 4
Learn more on equation of circle here: https://brainly.com/question/14150470
Sarah, Natasha and Richard share some sweets in the ratio 5:2:3. Sarah gets 75 sweets. How many more sweets does Richard get over Natasha?
Answer:
Richard gets 15 more sweets than Natasha.
Step-by-step explanation:
Given that the ratio of Sarah's sweets is 5 and she has 75 sweets. So firstly, you have to find out how many sweets in a ratio of 1 :
Let ratio be units,
[tex]5 units = 75 sweets[/tex]
[tex]1 unit = 75 \div 5[/tex]
[tex]1 unit = 15 sweets[/tex]
Now we have to find how many sweets does Natasha and Richard has :
Richard (ratio of 3),
[tex]3 units = 15 \times 3[/tex]
[tex]3 units = 45 sweets[/tex]
Natasha (ratio of 2),
[tex]2 units = 15 \times 2[/tex]
[tex]2 units = 30 sweets[/tex]
In order to find how many sweets Richard has more than Natasha, you have to substract :
[tex]45 - 30 = 15 sweets[/tex]
Answer:
15
Step-by-step explanation:
the answer is 15
what will happen to the volume of a cylinder if the length if the height is tripled?
A. Double
B. Stay the same
C. Triple
D. 9 times as large
Answer:
Triple
Step-by-step explanation:
V = π * r^2 *h
h is directly proportional to V so when h increases V increases.
This is a linear relationship so if h is tripled the volume will be tripled as well.
if r tripled then V would be 9 times as large since r has a square relationship with V.
If you're unsure about these just plug in number r= 2, h= 4, and perform the operation they ask you to do (triple or double) and you'll always get it right.
The number y of raccoons in an area after x years can be modeled by the function y= 0.4x^2+2x+2. When were there about 45 raccoons in the area? Round your answer to the nearest year
Answer:
A timeframe of 8 years is when there were 45 raccoons in the area.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStandard Form:
[tex]\displaystyle ax^2 + bx + c = 0[/tex]
Quadratic Formula:
[tex]\displaystyle x=\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle \begin{aligned}y & = 0.4x^2 + 2x + 2 \\y & = 45 \ \text{raccoons} \\\end{aligned}[/tex]
Step 2: Find Specific Year
We are trying to find the year when there were 45 raccoons present in the area. From first glance, we see we probably can't factor the quadratic expression, so let's set up to use the Quadratic Formula:
[Model Equation] Substitute in y:Now that we have our variables from Standard Form, we can use the Quadratic Formula to find which years when there were 45 raccoons present in the area:
[Quadratic Formula] Substitute in variables:Since time cannot be negative, we can isolate the other root to obtain our final answer:
[tex]\displaystyle\begin{aligned}x & = 8.16536 \ \text{years} \\& \approx \boxed{ 8 \ \text{years} } \\\end{aligned}[/tex]
∴ we have found the approximate amount of years to be 8 years when there were 45 raccoons in the area.
___
Learn more about Algebra I: https://brainly.com/question/16442214
___
Topic: Algebra I
certain circle can be represented by the following equation.
x^2+y^2+18x+14y+105=0x
2
+y
2
+18x+14y+105=0x, squared, plus, y, squared, plus, 18, x, plus, 14, y, plus, 105, equals, 0
What is the center of this circle ?
((left parenthesis
,,comma
))right parenthesis
What is the radius of this circle ?
units
Answer:
Center of the circle is (-9, -7)
Radius of the circle = 5 units
Step-by-step explanation:
Given question is incomplete: here is the complete question.
Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.
What is the center of this circle ?
What is the radius of this circle ?
Since equation of the circle has been given by the equation,
x² + y² + 18x + 14y + 105 = 0
Now we will convert this equation to the standard form of the circle.
x² + 18x + y² + 14y = -105
[x² + 2(9)x] + [y² + 2(7)x] = -105
[x² + 2(9)x + 9²] + [y² + 2(7)y + 7²] = 9² + 7² - 105
(x + 9)² + (y + 7)² = 81 + 49 - 105
(x + 9)² + (y + 7)² = 25
(x + 9)² + (y + 7)² = 5²
By comparing this equation with the standard equation of the circle → (x - h)² + (y - k)² = r²
Center of the circle is (-9, -7) and radius of the circle is 5 units.
Answer:
(-4.8)
7 unit
i just did the test
Step-by-step explanation:
x + 18 greater than or equals 26
Answer:
x + 18 ≥ 26
Step-by-step explanation:
"greater than or equals": ≥
x + 18 ≥ 26 is your answer.
If you are trying to solve it so you isolate x, subtract 18 from both sides:
x + 18 (-18) ≥ 26 (-18)
x ≥ 26 - 18
x ≥ 8
x ≥ 8 is your answer.
~
Answer:
x+18 ≥ 26
Step-by-step explanation:
≤ is the less than or equals sign
≥ is the greater than or equals sign
x+18 ≥ 26
(This also means x must be ≥ 8)
Given a triangle with b = 7, C = 3, and A = 37° what is the length of a? Round to the nearest tenth.
a. 4.9
b.5.9
c.5.5 d. 4.3
Answer: 4.9
Step-by-step explanation:
Students voted on a school trip. 56 voted for the museum, 86 for the nature center, 172 for the state capital, and 116 for other venues.
A circle graph titled School trip location. 40 percent is a, 20 percent is b, 13 percent is c, 27 percent is d.
The circle graph shows the data from the table, but the labels are missing.
Choose the correct labels.
a =
b =
c =
d =
Answer:
a = state capital
b = nature center
c = museum
d = other
Step-by-step explanation:
Answer:
other person is correct
Step-by-step explanation:
Mark walked 15 miles in 6 hours
Calculate his average speed
Average speed = 2.5 miles
Divide 6 from both sides.
6/6 = 1
15/6 = 2.5
So, overall Mark walks 2.5 miles per hour.
hope it helps!
put these fractions in order of size, smallest to largest 1/3 2/5 3/8
Answer:
3/8, 2/5, 1/3
Step-by-step explanation:
From smallest to largest is 3/8 2/5 1/3
It costs 31.25 for 1 box of candy and 4 large bags of popcorn at a movie theatre. For 3 boxes of candy and 5 large bags of popcorn it costs 46.50 how much does 1 bag of popcorn cost
Answer:
$6.75
Step-by-step explanation:
$31.25 = C + 4B C for box of candy and B for large bags of popcorn
$46.50 = 3C + 5B
3($31.25 = C + 4B)
$93.75 = 3C + 12B
-46.50. -3C. -5B
$47.25 = 7B
÷7. ÷7
$6.75. = B
Mrs. Rodriguez bought 3 tickets for a concert. She also paid for a poster at the concert. Mrs. Rodriguez paid a total of $102 for the tickets and the poster. The equation 3t + p = 102 can be used to find p, the amount Mrs. Rodriguez paid for the poster. If Mrs. Rodriguez paid $29 for each ticket, t, then how much did she pay for the poster
Answer:
15
Step-by-step explanation:
102-(29 x 3)
Answer:
p=15
Step-byexplanation:
3t+p/102
3(29)+p=102
87+p=102
p=15
someone be a real one and finish this... plz
Answer:
y + 21 = - 4(x - 7)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (7, - 21) and (x₂, y₂ ) = (- 4, 23)
m = [tex]\frac{23+21}{-4-7}[/tex] = [tex]\frac{44}{-11}[/tex] = - 4
Using m = - 4 and (a, b) = (7, - 21), then
y - (- 21) = - 4(x - 7), that is
y + 21 = - 4(x - 7)
What is the solution to the system of equations below? x + 3 y = 15 and 4 x + 2 y = 30
Answer:
X=6 y=3 point form (6,3)
Step-by-step explanation:
Answer:
6,3
Step-by-step explanation:
I just took the test and got 100%
A pilot is flying a plane 20000 ft above the ground.The pilot begins a 2 descent to an airport runway.How far is the airplane from the start of the runway(in ground distance)
Answer:
381623 ft
Step-by-step explanation:
Since the airport altitude is 20000 ft and the pilot needs a 2° descent, to calculate the distance of the airplane at the start of this approach, first this is represented in the diagram attached. The distance from the runway at the start is x.
[tex]tan(3) = \frac{20000}{x} \\x=\frac{20000}{tan(3)} \\x=381623ft[/tex]
The airplane is at a distance of 381623 ft away from the airplane runaway at the start of the descent.
Find the area. The figure is not drawn to scale.
1.
36 in.
40 in.
33 in.
-
Answer: 47,520
Step-by-step explanation: 36 times 40 times 33
I need more help please!!! Will give brainliest! I only need b c and d done please!
Answer:
Step-by-step explanation:
i don’t know the rest but i know b is 144
Answer:
B) 144 seats would be full
Work: 72% x 200 = 144
C) the cost would be $5.4
Work: 4.5 × 20 / 100 = 0.9
4.5 + 0.9 = 5.4
D) 24% of the 25 different candies
Work: 6/25 = 0.24
Move the decimal point 2 places to the right and add
the percent sign %.
0.24 becomes 24%
hope this helps
You roll a fair 6-sided die. what is the probability rolling greater than 4
Answer:
1/3
Step-by-step explanation:
There are 6 possible outcomes when you roll this die: 1,2,3,4,5 and 6. Of these, only 5 and 6 are greater than 4, which is 2 successful outcomes. Probability is successful outcomes/total outcomes = 2/6 = 1/3. Hope this helps!
ok, im failing math rn so plz help
Answer:
-3/4
Step-by-step explanation:
Point A is at (-4,3) and Point B is at (4,-3)
The slope is at
m = (y2-y1)/(x2-x1)
= (-3 -3)/(4 - -4)
= (-3-3)/(4+4)
= -6/8
= -3/4
